Multiply. Write your answer in simplest form. sqrt330*sqrt3

Find Prime Factorization: Find the prime factorization of 330 and 3. The prime factorization of 330 is 2 * 3 * 5 * 11, and 3 is a prime number itself.Express Square Roots: Express sqrt(330) * sqrt(3) as sqrt(2 * 3 * 5 * 11) * sqrt(3).Apply Multiplication Property: Apply the multiplication property of square roots: sqrt(2 * 3 * 5 * 11) * sqrt(3) = sqrt(2 * 3 * 5 * 11 * 3).Simplify Expression: Simplify the expression: sqrt(2 * 3 * 5 * 11 * 3) = sqrt(2 * 3^2 * 5 * 11).Pull Out Perfect Square Factor: Pull out the perfect square factor from the square root: sqrt(2 * 3^2 * 5 * 11) = 3 * sqrt(2 * 5 * 11).Final Simplification: Simplify the expression: 3 * sqrt(2 * 5 * 11) = 3 * sqrt(110).

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{330}\times\sqrt{3}$

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Q. Multiply. Write your answer in simplest form.

\newline

\sqrt{330}\times\sqrt{3}

Find Prime Factorization: Find the prime factorization of $330$ and $3$ . The prime factorization of $330$ is $2 \times 3 \times 5 \times 11$ , and $3$ is a prime number itself.
Express Square Roots: Express $\sqrt{330} \times \sqrt{3}$ as $\sqrt{2 \times 3 \times 5 \times 11} \times \sqrt{3}$ .
Apply Multiplication Property: Apply the multiplication property of square roots: $\sqrt{2 \times 3 \times 5 \times 11} \times \sqrt{3} = \sqrt{2 \times 3 \times 5 \times 11 \times 3}$ .
Simplify Expression: Simplify the expression: $\sqrt{2 \times 3 \times 5 \times 11 \times 3} = \sqrt{2 \times 3^2 \times 5 \times 11}.$
Pull Out Perfect Square Factor: Pull out the perfect square factor from the square root: $\sqrt{2 \times 3^2 \times 5 \times 11} = 3 \times \sqrt{2 \times 5 \times 11}$ .
Final Simplification: Simplify the expression: $3 \times \sqrt{2 \times 5 \times 11} = 3 \times \sqrt{110}.$